What is the Least Common Multiple of 1406 and 1425?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 1406 and 1425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1406 and 1425, than apply into the LCM equation.

GCF(1406,1425) = 19
LCM(1406,1425) = ( 1406 × 1425) / 19
LCM(1406,1425) = 2003550 / 19
LCM(1406,1425) = 105450

Least Common Multiple (LCM) of 1406 and 1425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1406 and 1425. First we will calculate the prime factors of 1406 and 1425.

Prime Factorization of 1406

Prime Factorization of 1425

Now multiplying the highest exponent prime factors to calculate the LCM of 1406 and 1425.

LCM(1406,1425) = 2¹ × 19¹ × 37¹ × 3¹ × 5²
LCM(1406,1425) = 105450